Tangent and Normal to Circle
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Conic Section

119847 The total number of common tangents of \(x^2+y^2-6 x-8 y+9=0\) and \(x^2+y^2=1\)

1 4
2 2
3 3
4 1
Karnataka CET-2011
Conic Section

119848 The lengths of the tangent drawn from any point on the circle \(15 x^2+15 y^2-48 x+64 y=0\) to the two circles \(5 x^2+5 y^2-24 x+32 y+75=0\) and \(5 x^2+5 y^2-48 x+64 y+300=0\) are in the ratio of

1 \(1: 2\)
2 \(1: 8\)
3 \(1: 6\)
4 None of these
BITSAT-2016
Conic Section

119849 A pair of tangents are drawn from the origin to the circle \(x^2+y^2+20(x+y)+20=0\), then the equation of the pair of tangent are

1 \(x^2+y^2-5 x y=0\)
2 \(x^2+y^2+2 x+y=0\)
3 \(x^2+y^2-x y+7=0\)
4 \(2 x^2+2 y^2+5 x y=0\)
BITSAT-2013
Conic Section

119850 In the given figure, the equation of the larger circle is \(x^2+y^2+4 y-5=0\) and the distance between centres is 4 . Then the equation of smaller circle is
original image

1 \((x-\sqrt{7})^2+(y-1)^2=1\)
2 \((x+\sqrt{7})^2+(y-1)^2=1\)
3 \(x^2+y^2=2 \sqrt{7} x+2 y\)
4 None of these
BITSAT-2020
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Conic Section

119847 The total number of common tangents of \(x^2+y^2-6 x-8 y+9=0\) and \(x^2+y^2=1\)

1 4
2 2
3 3
4 1
Karnataka CET-2011
Conic Section

119848 The lengths of the tangent drawn from any point on the circle \(15 x^2+15 y^2-48 x+64 y=0\) to the two circles \(5 x^2+5 y^2-24 x+32 y+75=0\) and \(5 x^2+5 y^2-48 x+64 y+300=0\) are in the ratio of

1 \(1: 2\)
2 \(1: 8\)
3 \(1: 6\)
4 None of these
BITSAT-2016
Conic Section

119849 A pair of tangents are drawn from the origin to the circle \(x^2+y^2+20(x+y)+20=0\), then the equation of the pair of tangent are

1 \(x^2+y^2-5 x y=0\)
2 \(x^2+y^2+2 x+y=0\)
3 \(x^2+y^2-x y+7=0\)
4 \(2 x^2+2 y^2+5 x y=0\)
BITSAT-2013
Conic Section

119850 In the given figure, the equation of the larger circle is \(x^2+y^2+4 y-5=0\) and the distance between centres is 4 . Then the equation of smaller circle is
original image

1 \((x-\sqrt{7})^2+(y-1)^2=1\)
2 \((x+\sqrt{7})^2+(y-1)^2=1\)
3 \(x^2+y^2=2 \sqrt{7} x+2 y\)
4 None of these
BITSAT-2020
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Conic Section

119847 The total number of common tangents of \(x^2+y^2-6 x-8 y+9=0\) and \(x^2+y^2=1\)

1 4
2 2
3 3
4 1
Karnataka CET-2011
Conic Section

119848 The lengths of the tangent drawn from any point on the circle \(15 x^2+15 y^2-48 x+64 y=0\) to the two circles \(5 x^2+5 y^2-24 x+32 y+75=0\) and \(5 x^2+5 y^2-48 x+64 y+300=0\) are in the ratio of

1 \(1: 2\)
2 \(1: 8\)
3 \(1: 6\)
4 None of these
BITSAT-2016
Conic Section

119849 A pair of tangents are drawn from the origin to the circle \(x^2+y^2+20(x+y)+20=0\), then the equation of the pair of tangent are

1 \(x^2+y^2-5 x y=0\)
2 \(x^2+y^2+2 x+y=0\)
3 \(x^2+y^2-x y+7=0\)
4 \(2 x^2+2 y^2+5 x y=0\)
BITSAT-2013
Conic Section

119850 In the given figure, the equation of the larger circle is \(x^2+y^2+4 y-5=0\) and the distance between centres is 4 . Then the equation of smaller circle is
original image

1 \((x-\sqrt{7})^2+(y-1)^2=1\)
2 \((x+\sqrt{7})^2+(y-1)^2=1\)
3 \(x^2+y^2=2 \sqrt{7} x+2 y\)
4 None of these
BITSAT-2020
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Conic Section

119847 The total number of common tangents of \(x^2+y^2-6 x-8 y+9=0\) and \(x^2+y^2=1\)

1 4
2 2
3 3
4 1
Karnataka CET-2011
Conic Section

119848 The lengths of the tangent drawn from any point on the circle \(15 x^2+15 y^2-48 x+64 y=0\) to the two circles \(5 x^2+5 y^2-24 x+32 y+75=0\) and \(5 x^2+5 y^2-48 x+64 y+300=0\) are in the ratio of

1 \(1: 2\)
2 \(1: 8\)
3 \(1: 6\)
4 None of these
BITSAT-2016
Conic Section

119849 A pair of tangents are drawn from the origin to the circle \(x^2+y^2+20(x+y)+20=0\), then the equation of the pair of tangent are

1 \(x^2+y^2-5 x y=0\)
2 \(x^2+y^2+2 x+y=0\)
3 \(x^2+y^2-x y+7=0\)
4 \(2 x^2+2 y^2+5 x y=0\)
BITSAT-2013
Conic Section

119850 In the given figure, the equation of the larger circle is \(x^2+y^2+4 y-5=0\) and the distance between centres is 4 . Then the equation of smaller circle is
original image

1 \((x-\sqrt{7})^2+(y-1)^2=1\)
2 \((x+\sqrt{7})^2+(y-1)^2=1\)
3 \(x^2+y^2=2 \sqrt{7} x+2 y\)
4 None of these
BITSAT-2020
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